Question

Find the volume of the largest right circular cone that can be cut out from a cube of edge $4.2cm$.

Answer 1

Given edge of cube $=4.2cm.$

The diameter of largest circular cone that can be of cone $=4.2cm.$

$\therefore Radius=\frac{4.2}{2}=2.1cm$

$\therefore$ Height of the cone will also $=4.2cm.$

$\therefore$ volume of the the largest cone$=\frac{1}{3}.\pi r^{2}h$

$=\frac{1}{3}\times \frac{22}{7}\times 2.1\times 2.1\times 4.2$

$=19.404c{m}^3$.